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Chapter 2 Test

Find the next two terms of each sequence.

1. 9, 15, 21, 27

2. 32, 26, 20, 14

.

Find a counterexample for each statement.

3. If a fruit is an apple, then it is red.

4. If you’re phone is on, then you can hear the phone ring.

Use the following conditional statement to answer #’s 5-10.

If a polygon is a triangle, then it has exactly 3 sides.

5. Hypothesis:

6. Conclustion:

7. Converse:

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6. Conclustion:

7. Converse:

8. Inverse:

9. Contrapositive:

10. Write the biconditional if possible. If not, write not possible.

c

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X

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Name the property that justifies each statement.

11. AB = CD, CD= EF. Therefore, AB = EF

12. MZABC = m_DEF and mZDEF = m_ABC

13. ZA E ZA

Use the diagram to fill in the reasons for the following 2-column proof for #s 13-18.

2x – 2

4(x + 1)

A

B

AB = 50

Given

14

.

AC + CB = AB

.

2x-2+4(x+1) = 50

15.

2x – 2 + 4x +4= 50

16.

6x + 2 = 50

17.

6x = 48

19.

Find the value of the variable. (Show work for Credit)

20.

(8x 8)

one ray

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13. ZAE ZA

Use the diagram to fill in the reasons for the following 2-column proof for #s 13-18

2x – 2

4(x + 1)

A

C

B.

AB= 50

Given

AC + CB = AB

14.

2x-2+4(x+1)= 50

15.

2x-2 + 4x + 4= 50

16.

6x + 2 = 50

17.

6x = 48

18.

X=8

19.

20.

Find the value of the variable. (Show work for Credit)

(8 – x)

Duwing not to scale

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Tags:

transitive property

symmetric property

reflexive property

opposite angle

substitution property

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